IDENTIFYING SLOPE AND Y INTERCEPT FROM EQUATION

Solve each for y, identify m and y – intercept and graph each.

Problem 1 :

2y = 4x - 8

Solution :

Given, 2y = 4x - 8

The given equation is in standard form, to find slope we have to convert it into slope intercept form is y = mx + b.

y = (4/2)x – 8/2

y = 2x – 4

Comparing with y = mx + b

m = 2

So, 2 is slope and y – intercept is -4.

Problem 2 :

2x - y = -8

Solution :

Given, 2x – y = - 8

The given equation is in standard form, to find slope we have to convert it into slope intercept form is y = mx + b.

-y = -2x – 8

y = 2x + 8

So, 2 is slope and y – intercept = 8

Problem 3 :

-4x + 3y = -9

Solution :

-4x + 3y = -9

The given equation is in standard form, to find slope we have to convert it into slope intercept form is y = mx + b.

3y = 4x – 9

y = (4/3)x – 9/3

y = (4/3)x - 3

m = 4/3

So, 4/3 is slope and y – intercept = -3

Problem 4 :

6 - 2y = 5x

Solution :

Standard form : 6 – 2y = 5x

-2y = 5x + 6

-y = (5/2)x + 6/2

-y = (5/2)x + 3

y = (-5/2)x - 3

So, -5/2 is slope and y- intercept = -3

Problem 5 :

 5y = -15

Solution :

5y = -15

Dividing by 5 on both sides, we get

y = -15/5

y = -3

y = 0x - 3

So, slope is 0 and y- intercept is -3.

Problem 6 :

-2x = 4

Solution :

-2x = 4

Dividing by -2 on both sides, we get x = -2.

So, slope is 2 and y- intercept is 4.